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Strong quantum interference in strongly disordered bosonic insulators.

S V Syzranov¹, A Moor, K B Efetov

¹Theoretische Physik III, Ruhr-Universität Bochum, 44780 Bochum, Germany.

Physical Review Letters

|September 26, 2012

Summary

This summary is machine-generated.

This study explores variable-range hopping in boson systems, revealing a large positive magnetoresistance and a magnetic field-dependent conductivity crossover. The findings offer new insights into quantum interference effects in condensed matter physics.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Many-Body Systems

Background:

Variable-range hopping is a key transport mechanism in disordered systems.
Boson systems exhibit unique quantum phenomena due to their statistics.
Quantum interference effects significantly influence charge transport.

Purpose of the Study:

To investigate variable-range hopping of bosons in a large coordination number system.
To analyze the impact of quantum interference on boson transport.
To determine the temperature and magnetic field dependence of conductivity.

Main Methods:

Development of a functional renormalization-group scheme.
Repeated elimination of high-energy sites.
Renormalization of tunneling between low-energy sites.

Main Results:

Observation of strong quantum interference phenomena.
Determination of temperature and magnetic field dependence of hopping conductivity.
Discovery of a large positive magnetoresistance.
Identification of a conductivity crossover from Mott's law to activational behavior with increasing magnetic field.

Conclusions:

The functional renormalization-group scheme provides an analytical approach to study quantum interference in high coordination number systems.
The magnetic field significantly alters boson hopping conductivity, leading to a distinct crossover behavior.
The activation gap is found to be proportional to the applied magnetic field, offering a new understanding of magnetoresistance in such systems.